Question

find ( mangle ljk ).
answer attempt 2 out of 2
( mangle ljk = ) 66 ( ^circ ) submit answer

Explanation:

Step1: Identify triangle type

Triangle $JKL$ has $JK=KL$, so it is isosceles with $\angle LJK = \angle JLK$.

Step2: Sum of triangle angles

The sum of angles in a triangle is $180^\circ$. Let $m\angle LJK = x$.
$$x + x + 48^\circ = 180^\circ$$

Step3: Solve for $x$

Simplify and isolate $x$:
$$2x = 180^\circ - 48^\circ$$
$$2x = 132^\circ$$
$$x = \frac{132^\circ}{2} = 66^\circ$$

Answer:

$66^\circ$